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Simplifying 5(8x + 2) = 4(16x + -5) Reorder the terms: 5(2 + 8x) = 4(16x + -5) (2 * 5 + 8x * 5) = 4(16x + -5) (10 + 40x) = 4(16x + -5) Reorder the terms: 10 + 40x = 4(-5 + 16x) 10 + 40x = (-5 * 4 + 16x * 4) 10 + 40x = (-20 + 64x) Solving 10 + 40x = -20 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. 10 + 40x + -64x = -20 + 64x + -64x Combine like terms: 40x + -64x = -24x 10 + -24x = -20 + 64x + -64x Combine like terms: 64x + -64x = 0 10 + -24x = -20 + 0 10 + -24x = -20 Add '-10' to each side of the equation. 10 + -10 + -24x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -24x = -20 + -10 -24x = -20 + -10 Combine like terms: -20 + -10 = -30 -24x = -30 Divide each side by '-24'. x = 1.25 Simplifying x = 1.25
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